On the theory of scalar pair production by a potential barrier
The problem of the scalar pair production by a one-dimensional vector-potential Am(x₃) is reduced to the S-matrix formalism of the theory with an unstable vacuum. Our choice of in- and out-states does not coincide with that of other authors and we argue extensively in favor of our choice. We show th...
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| Published in: | Вопросы атомной науки и техники |
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| Date: | 2001 |
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| Format: | Article |
| Language: | English |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2001
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/79435 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the theory of scalar pair production by a potential barrier / A.I. Nikishov // Вопросы атомной науки и техники. — 2001. — № 6. — С. 103-109. — Бібліогр.: 20 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | The problem of the scalar pair production by a one-dimensional vector-potential Am(x₃) is reduced to the S-matrix formalism of the theory with an unstable vacuum. Our choice of in- and out-states does not coincide with that of other authors and we argue extensively in favor of our choice. We show that the norm of a solution of the wave equation is determined by one of the amplitude of its asymptotic form for x₃→±∞. For the constant electric field we obtain the scalar particle propagator in terms of the stationary states and show that with our choice of in- and out-states it has the form dictated by the general theory.
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| ISSN: | 1562-6016 |